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 Analysis over Cayley-Dickson numbers and its applications. Hypercomplex holomorphic functions, meromorphic functions, partial differential equations, operational calculus
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Analysis over Cayley-Dickson numbers and its applications. Hypercomplex holomorphic functions, meromorphic functions, partial differential equations, operational calculus

автор Sergey L. издательство Книга по Требованию Книги
Cтраниц 336        мягкая обложка       
Аннотация:In the first chapter super-differentiability of functions is described on regions of the real Cayley-Dickson algebra. The non-commutative analog of the Cauchy integral as well as criteria for functions of a Cayley-Dickson variable to be analytic are exposed. Among the main results we have the Cayley- Dickson algebras analogs of Caychy' s theorem, Hurtwitz' , argument principle, Mittag-Leffler' s, Rouche' s and Weierstrass' theorems, etc. In the second chapter the theory of meromorphic functions of the Cayley-Dickson variables is presented. Their properties and methods of calculations of their residues and arguments are described. The third chapter exposes material about differential equations over the Cayley-Dickson algebras. In chapter IV the technique for integration of partial differential equations with variable piecewise continuous or generalized coefficients is written. The fifth chapter contains results on the non- commutative multidimensional Laplace transforms. The book is devoted to non-commutative analysis over Cayley-Dickson algebras and its applications to partial differential equations.
Автор: Sergey L.
Издательство: Книга по Требованию
Год:2010
Цена:
3050 руб
Нет в наличии
Поиск: Analysis over Cayley-Dickson numbers and its applications. Hypercomplex holomorphic functions, meromorphic functions, partial differential equations, operational calculus
НОВЫЙ ГОД СИМВОЛ 2013 ГОДАУКРАШЕНИЯ
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